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\((256)^{0.16} \times (256)^{0.09} = ?\)

  • A.4
  • B.16
  • C.64
  • D.256.25

Answer: A

\((256)^{0.16} \times (256)^{0.09} = (256)^{(0.16+0.09)} \)

\(= (256)^{0.25} \)

\(= (256)^{(25/100)} \)

\(= (256)^{(1/4)} \)

\(= (4^{4})^{(1/4)} \)

\(= 4^{4(1/4)} \)

\(= 4^{1} \)

\(= 4\)

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